Least Common Multiple of 2749/180, 3712/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2749/180, 3712/440 quickly i.e. 10204288/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2749/180, 3712/440 is 10204288/20.

LCM(2749/180, 3712/440) = 10204288/20

LCM of 2749/180, 3712/440

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2749/180,3712/440

Given numbers are 2749/180,3712/440

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2749,3712

Least Common Multiple of Numerators i.e. LCM of 2749,3712 is 10204288.

GCF of Denominators means GCF of 180,440 as per the given fractions.

GCF of 180,440 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2749,3712

LCM of Fractions 2749/180,3712/440 is 10204288/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 10204288

Least Common Multiple of 2749,3712 with GCF Formula

Least Common Multiple of 2749,3712 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2749,3712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2749,3712) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2749,3712) x common factors =1 x 1 = 1

LCM(2749,3712) = ( 2749 × 3712 ) / 1

LCM(2749,3712) = 10204288 / 1

LCM(2749,3712) = 10204288


Lets's calculate GCF of 180,440

2 180, 440
2 90, 220
5 45, 110
9, 22

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10204288/20

Therefore the LCM of Fractions 2749/180,3712/440 is 10204288/20

Greatest Common Factor of 180,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,440 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 180,440 . The biggest common factor number is the GCF number.
So the greatest common factor 180,440 is 20.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2749/180, 3712/440

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2749/180, 3712/440?

Answer: LCM of Numerators as per given numbers 2749/180, 3712/440 is

LCM of Numerators i.e. for 2749,3712 is 10204288

GCF of denominators i.e. for 180,440 is 20.

Thus, LCM of Fractions is 10204288/20.Finally, LCM of Fractions for 2749/180, 3712/440 is 10204288/20.